MATHEMATICS HIGH SCHOOL

Which of the following forms a proportion?5/9 = 14/18 3/5 = 21/35 6/12 = 18/34 1/8 = 2/24

Answers

Answer 1
Answer:

Answer:

3/5 = 21/35

Step-by-step explanation:

if you reduce 21/35 it is 3/5 so it is the same thing

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How many time does three go into 4356

ANOTHER ONE TO TAKE A LOOK AT DOUBLE OR NOTHING

Answers

Answer:

The answer is 3rd point

Step-by-step explanation:

Bylookingatthetable:

10-10.99,

$15.95 (1 dot)

20-29.99,

$21.52, $25.55, $27.78, $29.90 (4 dots)

30-39.99,

$33.98, $36.77 (2 dots)

40-49.99,

$43.44 (1 dot)

50-59.99,

$51.25 (1 dot)

60-69.99,

$60.54, $64.56, $67.89 (3 dots)

Thenyoucandeterminenumberofdotsineachrange.

Amir owns and operates a clothing store. He sells a shirt for $59.95. He Originally bought the shirt for $40.50. What is the buying price as a percent of his selling price?

Answers

Answer:

32.45%

Step-by-step explanation:

To find the buying price as a percent of the selling price, we need to calculate the profit margin as a decimal first:

Profit margin = Selling price - Buying price

Profit margin = $59.95 - $40.50

Profit margin = $19.45

Now we can find the percent by dividing the profit margin by the selling price and multiplying by 100:

Percent = (Profit margin ÷ Selling price) x 100

Percent = ($19.45 / $59.95) x 100

Percent = 32.45%

Therefore, the buying price is 32.45% of the selling price.

A recipe that makes 7 servings calls for 1 1/6 cups of jucie.how many cups of jucie per serving?
a.) 1/6

b.) 1/7

c.) 7/6

d.) 6/7

Answers

1 (1)/(6) = (6)/(6) + (1)/(6) = (7)/(6) \n Basically:1 (1)/(6) = (7)/(6) \n (7)/(6) / 7 \n (7)/(6) / (7)/(1) \n (7)/(6) * (1)/(7) \n (7*1)/(6*7) \n (7)/(42) \n (1)/(6)
The answer is a.) 1/6 cup
Step One: Make 1 1/6 an improper fraction
Step Two: Write equation
Step Three: Make the whole number (7) a fraction by putting it over one
Step Four: Divide 7/6 by 7/1
Step Five: Slip 7/1 for the reciprocal, 1/7
Step Six: Multiply the two fractions
Step Seven: Simplify
Hope this helps!

A countrys population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using exponential growth formula. Round your answer to the nearest million. P=Ae to the power kt

Answers

Answer:

171 million

Step-by-step explanation:

Given the exponential growth formula expressed as P = Ae^(kt) where P is the countrys population and t is the time.

Initially in 1991, at t= 0, P = 147 million

P = Ae^(kt)\n147 = Ae^(k(0))\n147 = Ae^0\n147 = A(1)\nA = 147

If by 1998 it was 153 million, this means that the population is 153 million 7 years later i.e when t = 7, P = 153. On substituting into the formula to get the constant 'k';

P = Ae^(kt)\n153 = 147e^(k(7))\n153 = 147e^(7k)\n153/147 = e^(7k)\ne^(7k) = 1.041\nTaking \ ln \ of \ both \ sides\nlne^(7k) = ln 1.041\n7k = 0.04018\nk = 0.04018/7\nk = 0.00574

To estimate the population in 2017, to number of years from 1991 to 2017 is 26 years. Hence we are to find the value of P given t = 27, A = 147 and k = 0.00574

P = Ae^(kt)\nP = 147e^(0.00574*26)\nP = 147e^0.14924\nP = 147*1.16095\nP = 170.659

Hence the population in 2017 using exponential growth formula to the nearest million is 171 million.

The quotient of x^2+x-6/x^2-6x+5*x^2+2x-3/x^2-7x+10 has ___ in the numerator and ______ in the denominator.

Answers

Answer:

So the quotient of (x^(2) + x - 6)/(x^(2) -6x + 5) X (x^(2) + 2x - 3)/(x^(2) -7x + 10) has (x + 3)² in the numerator and (x + 5)² in the denominator.

Step-by-step explanation:

(x^(2) + x - 6)/(x^(2) -6x + 5) X (x^(2) + 2x - 3)/(x^(2) -7x + 10)

Factorizing the expressions we have

(x^(2) + 3x -2x - 6)/(x^(2) -x - 5x + 5) X (x^(2) + 3x - x - 3)/(x^(2) -2x -5x + 10)

(x(x + 3)- 2(x + 3))/(x(x -1) - 5(x - 1)) X (x(x + 3) - 1(x + 3))/(x(x - 2) - 5(x - 2))

((x + 3)(x - 2))/((x - 5)(x - 1))X((x + 3)(x - 1))/((x - 2)(x - 5))

Cancelling out the like factors, (x -1) and (x - 2), we have

((x + 3)(x + 3))/((x - 5)(x - 5))

= ((x + 3)^(2) )/((x + 5)^(2) )

So the quotient of (x^(2) + x - 6)/(x^(2) -6x + 5) X (x^(2) + 2x - 3)/(x^(2) -7x + 10) has (x + 3)² in the numerator and (x + 5)² in the denominator.

What is the value of the expression 7+ (-++ s) + (-3 s) + (-3 - + S + 21) + ons?

Answers

Answer: the simplified value of the expression 7 + (-++ s) + (-3 s) + (-3 - + S + 21) + ons is 25 + (-4s) + ons.

Step-by-step explanation: To find the value of the expression 7 + (-++ s) + (-3 s) + (-3 - + S + 21) + ons, let's simplify it step by step:

1. Simplify the expression inside the parentheses:

(-++ s) can be simplified to -s since a double negative cancels out.

(-3 - + S + 21) can be simplified to (-3 + S + 21) since the positive sign before S doesn't change its value.

2. Replace the simplified expressions back into the original expression:

7 + (-s) + (-3 s) + (-3 + S + 21) + ons

3. Combine like terms:

-s and -3s can be combined to give -4s.

-3 and 21 can be combined to give 18.

4. Substitute the combined terms back into the expression:

7 + (-4s) + 18 + ons

5. Combine like terms:

7 and 18 can be combined to give 25.

6. Substitute the combined terms back into the expression:

25 + (-4s) + ons
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